AN EXISTENCE RESULT FOR A SINGULAR ELLIPTIC PROBLEM IN R(N)

Authors
BADIALE M TCHOU NA
Citation
M. Badiale et Na. Tchou, AN EXISTENCE RESULT FOR A SINGULAR ELLIPTIC PROBLEM IN R(N), Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(6), 1994, pp. 519-524
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
6
Year of publication
1994
Pages
519 - 524
Database
ISI
SICI code
0764-4442(1994)318:6<519:AERFAS>2.0.ZU;2-A
Abstract
We study a semilinear elliptic problem in R(N), where the semilinear t erm has a subcritical growth, and where the zeroth order term ha, a si ngular coefficient, i.e. a non negative Borel measure. We prove the ex istence of solutions under assumptions on the behaviour at infinity of the singular set of mu. This is an improvement from a preceding artic le [1], where global assumptions on the singular set of mu were needed .